Logarithmic Correction to Newton Potential in Randall-Sundrum Scenario

TL;DR

This paper calculates the Newtonian potential correction in a Randall-Sundrum brane-world scenario, revealing a logarithmic factor and dominant KK spectrum effects at small distances, which could help experimentally detect extra dimensions.

Contribution

It introduces a method to compute the Newton potential correction involving a logarithmic factor in the Randall-Sundrum model.

Findings

Correction terms include a logarithmic factor.

KK spectrum dominates at very small distances.

Potential for experimental detection of extra dimensions.

Abstract

Using a fixed-energy amplitude in Randall-Sundrum single brane scenario, we compute the Newton potential on the brane. It is shown that the correction terms to the Newton potential involve a logarithmic factor. Especially, when the distance between two point masses are very small compared to $AdS$ radius, the contribution of KK spectrum becomes dominant compared to the usual inversely square law. This fact may be used to prove the existence of an extra dimension experimentally.